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Finding the Third Proportional to 145,304 and 222,182

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Solution

The third proportional to 145,304 and 222,182 is: 339,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,304 : 222,182 = 222,182 : x
  2. Step 2: Convert to fraction form
    145,304/222,182 = 222,182/x
  3. Step 3: Cross multiply
    145,304x = 222,182 × 222,182
  4. Step 4: Simplify right side
    145,304x = 49,364,841,124
  5. Step 5: Solve for x
    x = 49,364,841,124/145,304
  6. Step 6: Final answer
    x = 339,734.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.